December 5, 2008 from 16:00 to 18:00 (Montreal/Miami time) On location
As we know from General Relativity, gravitational forces can be seen as a manifestation of the curvature of Space-Time, but the other fundamental forces of Nature -- electroweak or strong interactions -- can also be geometrically interpreted in terms of curvatures stemming from connections on fibered spaces (gauge theories). The corresponding mathematical tools belong to the realm of classical geometry, but a quantum description of fundamental interactions requires the replacement of "spaces'' (actually commutative algebras of functions on spaces) by more general algebras, as well as the replacement of classical geometry by a non-commutative geometry. The purpose of the seminar is to give an elementary presentation of the standard mathematical structures underlying the notion of curvature (theory of connections) and to show how such structures can be generalized to the realm of non-commutative spaces.
AddressUdeM, Pav. André-Aisenstadt, 2920, ch. de la Tour, room 6214